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Finding the Third Proportional to 384,663 and 837,057

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Solution

The third proportional to 384,663 and 837,057 is: 1,821,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,663 : 837,057 = 837,057 : x
  2. Step 2: Convert to fraction form
    384,663/837,057 = 837,057/x
  3. Step 3: Cross multiply
    384,663x = 837,057 × 837,057
  4. Step 4: Simplify right side
    384,663x = 700,664,421,249
  5. Step 5: Solve for x
    x = 700,664,421,249/384,663
  6. Step 6: Final answer
    x = 1,821,501.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.